The Charleston Family has a fish tank holding 10,450 ml of water. The water leaking at a rate of 270 ml per minute.

Part A) Define the input and output in the given scenario.

Part B) Write a function in function notation to model this situation.

Part C) How many ml of water will be left after 10 min?

1 answer

Part A) The input in this scenario is the rate at which the water is leaking, which is 270 ml per minute. The output is the amount of water in the fish tank, which starts at 10,450 ml.

Part B) Let's use the variable "w" to represent the amount of water in the tank, in milliliters, and "t" to represent the time, in minutes. We can write the function as:

w(t) = 10,450 - 270t

This function represents the amount of water in the tank (w) as a function of time (t), taking into account that the water is leaking at a rate of 270 ml per minute.

Part C) To find out how many milliliters of water will be left after 10 minutes, we can substitute t = 10 into the function:

w(10) = 10,450 - 270(10)
w(10) = 10,450 - 2,700
w(10) = 7,750

After 10 minutes, there will be 7,750 ml of water left in the fish tank.